Search a number
-
+
30213110200 = 23527132277461
BaseRepresentation
bin11100001000110101…
…110111100110111000
32212222121022000121111
4130020311313212320
5443334024011300
621514003450104
72116465125250
oct341065674670
985877260544
1030213110200
11118a4570969
125a32386934
132b0658c800
141668880960
15bbc6c29ba
hex708d779b8

30213110200 has 288 divisors, whose sum is σ = 87434091360. Its totient is φ = 9506764800.

The previous prime is 30213110183. The next prime is 30213110203. The reversal of 30213110200 is 201131203.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30213110203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65537970 + ... + 65538430.

It is an arithmetic number, because the mean of its divisors is an integer number (303590595).

Almost surely, 230213110200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30213110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43717045680).

30213110200 is an abundant number, since it is smaller than the sum of its proper divisors (57220981160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30213110200 is a wasteful number, since it uses less digits than its factorization.

30213110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 30213110200 its reverse (201131203), we get a palindrome (30414241403).

The spelling of 30213110200 in words is "thirty billion, two hundred thirteen million, one hundred ten thousand, two hundred".